Contents of Volume 17, Number 1

All articles in this issue are freely accessible.

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On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians

E. Balslev and A. Venkov.
St. Petersburg Math. J. 17 (2006), 1-37
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MathSciNet review: 2140673

Nonlinear hyperbolic equations in surface theory: Integrable discretizations and approximation results

A. I. Bobenko, D. Matthes and Yu. B. Suris.
St. Petersburg Math. J. 17 (2006), 39-61
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MathSciNet review: 2140674

Functional integration and the two-point correlation function of the one-dimensional Bose gas in a harmonic potential

N. M. Bogoliubov and C. Malyshev.
St. Petersburg Math. J. 17 (2006), 63-84
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MathSciNet review: 2140675

A recursion formula for the correlation functions of an inhomogeneous XXX model

H. Boos, M. Jimbo, T. Miwa, F. Smirnov and Y. Takeyama.
St. Petersburg Math. J. 17 (2006), 85-117
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Cayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ type

D. I. Gurevich, P. N. Pyatov and P. A. Saponov.
St. Petersburg Math. J. 17 (2006), 119-135
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A kink in a funny place

R. Jackiw.
St. Petersburg Math. J. 17 (2006), 137-142
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MathSciNet review: 2140678

Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant

K. Hikami and A. N. Kirillov.
St. Petersburg Math. J. 17 (2006), 143-156
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MathSciNet review: 2140679

On selfadjoint extensions of some difference operator

R. M. Kashaev.
St. Petersburg Math. J. 17 (2006), 157-167
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MathSciNet review: 2140680

Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations

A. V. Kitaev.
St. Petersburg Math. J. 17 (2006), 169-206
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MathSciNet review: 2140681

Asymptotic bounds for spectral bands of periodic Schrödinger operators

M. M. Skriganov and A. V. Sobolev.
St. Petersburg Math. J. 17 (2006), 207-216
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MathSciNet review: 2140682